English

The Hake-McShane and Hake-Henstock-Kurzweil integrals over m-dimensional unbounded sets

Functional Analysis 2018-09-24 v1

Abstract

In this paper, we extend the Hake-McShane and Hake-Henstock-Kurzweil integrals of Banach space valued functions from m-dimensional open and bounded sets to m-dimensional sets G such that |G \ Go| = 0. We will prove the full descriptive characterizations of new integrals in terms of the locally McShane and locally Henstock-Kurzweil integrals.

Keywords

Cite

@article{arxiv.1809.08119,
  title  = {The Hake-McShane and Hake-Henstock-Kurzweil integrals over m-dimensional unbounded sets},
  author = {Sokol Bush Kaliaj},
  journal= {arXiv preprint arXiv:1809.08119},
  year   = {2018}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1809.05939